Circle of Fifths
(Published on 28. April 2022, 19:40 by Cephalo)
Hello all! This is my debut puzzle on LMG so please let me know what you think. I would say this puzzle is fairly challenging so be warned, but I don't think it's the hardest thing in the world. Also I feel the logic is quite nice. Interested to see the overall perceived difficulty.
Rules:
1. Normal Sudoku rules apply.
2. Cells separated by a knight's move (in chess) must not contain the same digit.
3. Digits may NOT repeat on any line. Adjacent digits on green [whisper] lines must differ by at least five, while adjacent digits on blue [holler] lines must sum to a multiple of five (considering each line separately).
4. Along thermometers, digits must increase from the bulb end.
Hope you enjoy, and good luck!
Solution code: Row 2 followed by Row 8, no spaces
Comments
on 19. March 2023, 13:13 by Blazsej007
Absolutely amazing break-in, and it keeps up the difficulty nicely throughout. Astonishing puzzle!
on 2. June 2022, 10:29 by Krokant
Great puzzle and a wonderful debut on this site. Hope there's more to follow. :)
on 16. May 2022, 11:02 by Sumyrda
Lovely puzzle and my debut solve on LMG. I completely messed up my first attempt, but found the break in logic so beautiful that I tried a second and third time and finally got it. You really have to keep hunting for the deeper implications of the knights move constraint to get through the second half. It was a lot of fun but definitely one of the harder puzzles out there.
Thank you so much for the kind words Sumyrda! I agree with your assessment as the knight’s move interactions are indeed quite difficult and widespread. I didn’t want the solve to become too trivial after the break-in and it appears I succeeded haha. I’m so glad you appreciated the break-in bc I was really proud of the logic in there, and I hope you didn’t find the second half too tedious. I’m honored to be your first solve on the site and given the 5-star difficulty, that’s a wildly impressive feat. Thank you for the feedback, and glad you enjoyed it!
on 30. April 2022, 22:27 by LorenzTransform
Splendid logic!
on 29. April 2022, 22:48 by Aaronomys
Lovely puzzle @Cephalo! This is a very extravagant debut. I can't wait to see more from you in the future!
on 29. April 2022, 03:15 by NicoShanks
Loved it. Didn’t fall apart after the break-in and remained a tough nut to crack till the end, but was enjoyable the whole way. Wonderful setting Cephalo!
on 29. April 2022, 02:26 by Florentine99
What a break-in! Challenging indeed and tricky to spot some knight’s move interactions but so beautiful when I figured it out. Impressive that this is unique being so minimal/symmetrical :O
Thanks Florentine! Very glad you appreciated the break-in, it is quite tricky so well done on being one of the first solvers :D
on 29. April 2022, 00:05 by Cephalo
To clarify, blue lines do not all need to be the same sum. For example, one blue line could sum to 5 while another sums to 10
